Find the product. Simplify your answer. (3p - 4)(4p + 3) ______

Apply Distributive Property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the two binomials (3p - 4) and (4p + 3). (3p - 4)(4p + 3) = 3p(4p) + 3p(3) - 4(4p) - 4(3)Multiply Binomials: Multiply each term in the first binomial by each term in the second binomial. 3p(4p) = 12p^2 3p(3) = 9p -4(4p) = -16p -4(3) = -12Combine Like Terms: Combine like terms. 12p^2 + 9p - 16p - 12 12p^2 - 7p - 12

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the product. Simplify your answer. $\newline$ $(3p - 4)(4p + 3)$

View step-by-step help

Home

Math Problems

Algebra 1

Multiply two binomials

Full solution

Q. Find the product. Simplify your answer.

\newline

(3p - 4)(4p + 3)

Apply Distributive Property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the two binomials $(3p - 4)$ and $(4p + 3)$ . $(3p - 4)(4p + 3) = 3p(4p) + 3p(3) - 4(4p) - 4(3)$
Multiply Binomials: Multiply each term in the first binomial by each term in the second binomial. $\newline$ $3p(4p) = 12p^2$ $\newline$ $3p(3) = 9p$ $\newline$ $-4(4p) = -16p$ $\newline$ $-4(3) = -12$
Combine Like Terms: Combine like terms. $\newline$ $12p^2 + 9p - 16p - 12$ $\newline$ $12p^2 - 7p - 12$